Formula:KLS:09.12:27

{\displaystyle{\displaystyle{\displaystyle\frac{d}{dx}\left(x^{\alpha}L^{% \alpha}_{n}\left(x\right)\right)=(n+\alpha)x^{\alpha-1}L^{\alpha-1}_{n}\left(x% \right),\qquad\left(x\frac{d}{dx}+\alpha\right)L^{\alpha}_{n}\left(x\right)}}}

Proof

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